Question

how many three digit number divisible by 19 have the sum of their digits as 19​

Answer 1

874 is the Only one three-digit number divisible by 19 has the sum of its digits as 19.

Step-by-step explanation:

• The three-digit numbers multiples of 19 are:
• 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380, 399, 418, 437, 456, 475, 494, 513, 532, 551, 570, 589, 608, 627, 646, 665, 684, 703, 722, 741, 760, 779, 798, 817, 836, 855, 874, 893, 912, 931, 950, 969, and 988.
• But none of them has 19 as the sum of its digits except 874(8+7+4 = 19).
• Thus, only 874 has a sum of digits of 19.

Learn more: find the multiple

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